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Finding the Fourth Proportional to 13,775.52, 18,984 and 9,992.16

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Solution

The fourth proportional to 13,775.52, 18,984 and 9,992.16 is: 13,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.52 : 18,984 = 9,992.16 : x
  2. Step 2: Convert to fraction form
    13,775.52/18,984 = 9,992.16/x
  3. Step 3: Cross multiply
    13,775.52x = 18,984 × 9,992.16
  4. Step 4: Simplify right side
    13,775.52x = 189,691,165.44
  5. Step 5: Solve for x
    x = 189,691,165.44/13,775.52
  6. Step 6: Final answer
    x = 13,770.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.